Question

Find any three irrational numbers between $\frac{5}{7}$ and $\frac{9}{11}$.

Answer 1

To find three irrational numbers between $\frac{5}{7}$ and $\frac{9}{11}$(i.e., between $0.714285$... and $0.8181$...). We find three numbers whose decimal expansions are non-terminating and non-recurring. Infact, there are infinitely many such numbers. Three such numbers are.
$0.72022002220002$...
$0.73033003330003$...
$0.75055005550005$...